Find the magnitudes of the impulse on him from the water

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Homework Help Overview

The problem involves calculating the impulse experienced by Henri LaMothe when he belly-flops into water from a height of 11 m. The scenario assumes he comes to a stop at the bottom of the water, with his mass given as 76 kg. The discussion revolves around the application of impulse and gravitational potential energy concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of gravitational potential energy to find the velocity at impact and the subsequent impulse. There are questions about whether to apply projectile motion principles and how to calculate the time taken to stop in the water. Some participants suggest using kinematic equations to find the necessary variables.

Discussion Status

Multiple approaches are being explored, including the use of energy conservation and kinematic equations. Some participants provide references for further reading, while others express uncertainty about the problem setup due to the absence of a figure. There is no explicit consensus on the best method to proceed.

Contextual Notes

Participants note the lack of a figure, which may affect their understanding of the problem. There is also mention of different interpretations regarding the final velocity at the bottom of the water.

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[SOLVED] IMPULSE, i need HELP!

Homework Statement



Until he was in his seventies, Henri LaMothe excited audiences by belly-flopping from a height of 11 m into 30 cm. of water (Figure 9-49). Assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 76 kg, find the magnitudes of the impulse on him from the water.


Homework Equations



Impulse = Force * Time
Ug = mgh



The Attempt at a Solution




Ug = (76)(9.81)(11-0.3) = 7,977.492
 
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1. Homework Statement

Until he was in his seventies, Henri LaMothe excited audiences by belly-flopping from a height of 11 m into 30 cm. of water (Figure 9-49). Assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 76 kg, find the magnitudes of the impulse on him from the water.


2. Homework Equations

Impulse = Force * Time
Ug = mgh



3. The Attempt at a Solution


Ug = (76)(9.81)(11-0.3) = 7,977.492




DO I USE PROJECTILE MOTION, and if i do, then how?
 
Someone Please Help Me!
 
ok well.. that's not the only formula... its also impulse = mv1-mv2
 
To solve the problem, one needs to find the velocity just as LaMothe hits the water.

Equate the change in gravitational potential energy (mgh), h = 76 m, with the change in KE = 1/2 mv2, and use that to get v at the time LaMothe impacts the water.

From that, one gets mv1. LaMothe must competely stop in 0.3 m of water, so determine the average velocity at constant deceleration. Then compute the time interval to stop by 0.3 m/(vav).

Here is a good reference - http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html#mot1

Impulse - http://hyperphysics.phy-astr.gsu.edu/hbase/impulse.html#c1
 
If you haven't learned work energy theorem, use basic kinematic formulas such as V(final)^2=V(initial)^2-2g(deltaX).

Now, I could be wrong, but i think that's it... your v2=0, so u mV1 is the impulse.. now if u were asked to find the Fmax, or the force at any given time while its in the water, then its different.
 
Last edited:
also we don't have a figure; so, there could some minor chance that I didn't understand the problem completely
 
aq1q said:
If you haven't learned work energy theorem, use basic kinematic formulas such as V(final)^2=V(initial)^2-2g(deltaX).

Now, I could be wrong, but i think that's it... your v2=0, so u mV1 is the impulse.. now if u were asked to find the Fmax, or the force at any given time while its in the water, then its different.

He still moves a distance of 30 cm after he hits the water, so v2 wouldn't be 0.
 
your v2=0, so u mV1 is the impulse..
That is correct with mv1 being the momentum at contact with the water and v= 0 (mv = 0) at the bottom of the water.

Then I = m[itex]\Delta[/itex]v = m(V1-0) = mv1.
 

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